Sound Wave Physics: Frequency and Wavelength
The relationship between the speed (\(v\)), frequency (\(f\)), and wavelength (\(\lambda\)) of a wave is fundamental in physics.
Wave Relationship Formula
The formula connecting these properties is:
\( v = f \lambda \)
Analyzing the Change
We are given the following conditions:
- The speed of the sound wave (\(v\)) remains constant.
- The frequency (\(f\)) of the sound wave increases.
To determine the effect on the wavelength (\(\lambda\)), we can rearrange the wave equation:
\( \lambda = \frac{v}{f} \)
This equation shows that wavelength (\(\lambda\)) is inversely proportional to frequency (\(f\)) when the speed (\(v\)) is constant. An increase in frequency necessitates a decrease in wavelength to maintain a constant speed.
Conclusion
Therefore, if the frequency of a sound wave increases while its speed remains constant, its wavelength will decrease.
Similar Questions
- A broadcasting station transmits waves with a frequency of $71 \times 10^4\ Hz$ and a speed of $3 \times 10^8\ m/s$. The wavelength of the wave is:
- In a longitudinal wave, the distance between two consecutive compressions and two consecutive rarefactions is called:
Important Questions from Waves
Visible light's wavelength range _________.
If the frequency of a sound wave is 50 Hz, then what is its time period?
Hertz is the SI unit of ________.
A running race is organized between ultrasonics, audible and infrasonic waves in a medium, then the winner is:
When a light wave travels from air to water, then which property remain unchanged ?
